Abstract
We study a nonconserved one-dimensional stochastic process which involves two species of particles and . The particles diffuse asymmetrically and react in pairs as and . We show that the stationary state of the model can be calculated exactly by using matrix product techniques. The model exhibits a phase transition at a particular point in the phase diagram which can be related to a condensation transition in a particular zero-range process. We determine the corresponding critical exponents and provide a heuristic explanation for the unusually strong corrections to scaling seen in the vicinity of the critical point.
1 More- Received 18 March 2013
DOI:https://doi.org/10.1103/PhysRevE.87.062120
©2013 American Physical Society